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13930191 = 3311173189
BaseRepresentation
bin110101001000…
…111011001111
3222012201122000
4311020323033
512031231231
61214323343
7226255542
oct65107317
928181560
1013930191
117954a60
1247b9553
132b69722
141bc8859
1513526e6
hexd48ecf

13930191 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 7603200.

The previous prime is 13930187. The next prime is 13930229. The reversal of 13930191 is 19103931.

It is not a de Polignac number, because 13930191 - 22 = 13930187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13930391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156475 + ... + 156563.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 213930191 is an apocalyptic number.

13930191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13930191 is a deficient number, since it is larger than the sum of its proper divisors (10953009).

13930191 is a wasteful number, since it uses less digits than its factorization.

13930191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 13930191 is about 3732.3171087141. The cubic root of 13930191 is about 240.6129643949.

The spelling of 13930191 in words is "thirteen million, nine hundred thirty thousand, one hundred ninety-one".

Divisors: 1 3 9 11 17 27 31 33 51 89 93 99 153 187 267 279 297 341 459 527 561 801 837 979 1023 1513 1581 1683 2403 2759 2937 3069 4539 4743 5049 5797 8277 8811 9207 13617 14229 16643 17391 24831 26433 30349 40851 46903 49929 52173 74493 91047 140709 149787 156519 273141 422127 449361 515933 819423 1266381 1547799 4643397 13930191